Problem 2. I am sure you remember Mark and Linda, and their two daughters, Anne and Beth, from Problem Set 3. As you recall, Mark and Linda must decide how to allocate their budget across perfectly divisible semesters of college education for their daughters. LetxA denote the semesters allocated to Anne and let x], denote the semesters allocated to Beth. The corresponding prices per semester are denoted by pp, and p13. The parents have preferences described by the utility function:u(xA,xB) = xA + 31n(xB). a. Find the demand functions for semesters of college education of Anne and Beth, in terms ofm, p A, and p13. Hint: consider the possibility of kinks. b. In a graph, draw the income expansion path assumingpA = $8,000 and p3 = $8,000. Focus on budgets between $1,000 and $40,000. c. In a new graph, draw a demand curve forxA (i.e. the relationship between p A and XA) given m = $64,000 ande = $8,000. In the same graph, draw two additional demand curves: one assuming m = $64,000 ande = $12,000, and another assumingm = $80,000 and p3 = $8,000. Properly label them. d. In a graph, draw the demand curve form; given m = $64,000 and pA = $8,000. In the same graph, draw two additional demand curves: one assumingm = $64,000 and pi, = $12,000, and another assuming m = $80,000 and 13,, = $8,000. Properly label them